Question 19
Let $ABC$ be a triangle and $D, E, F, G, H, I, J$ points on sides $BC, CA, AB, BC, CA, AB, BC$ respectively, such that $EF$ and $HI$ are parallel to $BC$; $IJ$ and $FG$ are parallel to $CA$; and $DE, GH$ are parallel to $AB$. Prove that $D = J$.